Gauss's Law Problem: Sphere and Conducting Shell

Physics Ninja looks at a classic Gauss's Law problem involving a sphere and a conducting shell. The inner sphere can be a conductor or an insulator and the outer shell is assumed to be a conductor. Charge is placed on both the sphere and shell. We use Gauss's Law to find the Electric Field everywhere in space.

Пікірлер: 120

  • @calthar13
    @calthar13 Жыл бұрын

    Why do physics classes that cost hundred of dollars and demand a commitment of 5 hours a week, less helpful than this 18min youtube video? thank god for you

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Thanks for the support. You’ve got this

  • @aaronlopez3852
    @aaronlopez38524 жыл бұрын

    This is awesome. Thanks for being thorough, yet concise. Keep it up!

  • @farhanbinfaisal135
    @farhanbinfaisal1352 жыл бұрын

    This is far far the best explanation I got till now. Thanks man

  • @quynhpham8596
    @quynhpham85964 жыл бұрын

    thanks man u just saved my uni life

  • @tiernanomahoney3925

    @tiernanomahoney3925

    2 жыл бұрын

    University...., I'm learning this in 9th grade.

  • @akbaer60

    @akbaer60

    Жыл бұрын

    @@tiernanomahoney3925 least overstudied south korean

  • @mohammadmaarefi3393
    @mohammadmaarefi3393 Жыл бұрын

    Beautifully made, I love how you mention all possible cases of this question. It makes perfect sense.

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Thank you so much!

  • @mrtom-a-hawk6732
    @mrtom-a-hawk67322 жыл бұрын

    Wow, this is a lot easier than my professor made it out to be. Thank you so much!

  • @mahdialkak5579
    @mahdialkak55793 жыл бұрын

    Who watched this in the last week of 2020 then you are a legend, thanks dr

  • @kommsk
    @kommsk3 жыл бұрын

    You did a very good job explaining Gauss' Law through a real example...Thanks man , you're a Ninja...:)

  • @kimberlygonzalez4543
    @kimberlygonzalez45433 жыл бұрын

    Excellent video! Made me understand Gauss's Law perfectly.

  • @blessbrian1295
    @blessbrian1295 Жыл бұрын

    Watched you video and went back to what my professor did and it made a lot of sense to me. Thank you very much and I must say my professor teaches well too.

  • @carsontaylor8771
    @carsontaylor87713 жыл бұрын

    It all makes sense now. You are amazing good sir!

  • @jennaalqdah9538
    @jennaalqdah9538 Жыл бұрын

    This is a super useful video and extremely well explained. Thank you so much, you clarified everything for me!

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Thank you so much. These types of comments motivate me to make more videos.

  • @ice_the_kicker
    @ice_the_kicker Жыл бұрын

    Brilliant explanation. I have never actually been into the world of physics, mostly programming and mathematics. Your video triggered me into learning electromagnetic fields.

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Thanks you. Good luck with your studies.

  • @eccedentesiast4647
    @eccedentesiast46474 жыл бұрын

    Superb and amazing 👌🙌😍 explanation. Infinitely many thanks to you from my bottom of the heart.

  • @hasimrutkayboyac7246
    @hasimrutkayboyac7246 Жыл бұрын

    You just saved a human being from just loosing his mind thank u for existing.

  • @rickastleysmicrophone7544
    @rickastleysmicrophone7544 Жыл бұрын

    Gosh! This video is perfect. I have my finals in 2 days and you saved me! This topic makes a lot more sense now. Thank you very much sir!

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    You got this!

  • @ironears
    @ironears2 жыл бұрын

    Hi there, you're just awesome. This was simple and clear. Thank you

  • @MultiSubjector
    @MultiSubjector2 жыл бұрын

    Thanks for the clear and concise lesson. I haven't seen this since taking physics, and revisiting the concept for one of upper div EE courses has been rough with my professor

  • @PhysicsNinja

    @PhysicsNinja

    2 жыл бұрын

    thanks for the comment. I'm happy the video was helpful for you. Good luck with your course.

  • @johnychannellifestyle942
    @johnychannellifestyle9422 жыл бұрын

    Awesome video I was upset when saw gauss law that make confuse but finally I find this video that clearly explain to me.🙏🙏🙏 Bro

  • @geniusblack4796
    @geniusblack47964 жыл бұрын

    Wow... It's now that I understand this completely... Thank you.... 😊

  • @sharonsamson6707
    @sharonsamson67073 жыл бұрын

    You're a life saver. Thank you!!!!!!!!!

  • @alexfontaine6233
    @alexfontaine62335 ай бұрын

    dude this video helped me out immensely. Thanks!

  • @d3m3nt3d_t3acup_
    @d3m3nt3d_t3acup_2 жыл бұрын

    Gotta say, this is the explanation that made sense to me. Keep this up!

  • @madnad4284
    @madnad4284 Жыл бұрын

    Thank you so much!! I was so confused and now I solve for my upcoming mid exam.

  • @THEVEGEfr
    @THEVEGEfr Жыл бұрын

    Thanks for the helpful video sir!

  • @AblieFatty-pb3ds
    @AblieFatty-pb3ds7 ай бұрын

    thank you so much, this video really helps me to understand this topic

  • @borjalarrain6335
    @borjalarrain6335 Жыл бұрын

    Thank you so much! This really helped

  • @princerenaud8790
    @princerenaud87903 жыл бұрын

    You are the best bro. Thank you so much!!!!!!!!

  • @faisalali2001
    @faisalali20013 жыл бұрын

    Great work

  • @amlhassan7090
    @amlhassan70904 жыл бұрын

    hi how can i calculate the surface charge density on the inner surface of the outer spherical conductor and on the outer surface of the outer spherical conductor?

  • @AhmedKhaleelAhmedAhmed
    @AhmedKhaleelAhmedAhmed9 күн бұрын

    thank you keep updating please

  • @classiccode3694
    @classiccode36943 жыл бұрын

    thanks for the video. helped me a lot to understand

  • @beuz6626
    @beuz6626 Жыл бұрын

    You're amazing. Thanks for the video!! It's very helpful.

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Glad it was helpful!

  • @sabarafiei9334
    @sabarafiei9334 Жыл бұрын

    thank you for your amazing channel♥♥

  • @kpraveenkumarkpraveenkumar7090
    @kpraveenkumarkpraveenkumar7090 Жыл бұрын

    thanks man well explained

  • @MuhammadAli-tw9ht
    @MuhammadAli-tw9ht4 жыл бұрын

    Sir , can i please know about the potential inside the shell? As electric field is zero inside shell , the potential will be constant but would it be same as due to inner sphere or the conducting shell.?

  • @juannunez8080
    @juannunez80803 жыл бұрын

    great video

  • @Bestofchatgpt
    @Bestofchatgpt3 жыл бұрын

    This is what I been looking for

  • @kabandajamir9844
    @kabandajamir9844 Жыл бұрын

    The world's best teacher

  • @archieli4556
    @archieli45562 жыл бұрын

    Thank you Sir!!!! I understand now!

  • @BlueRaz21
    @BlueRaz216 ай бұрын

    Thank you!

  • @boisteranto9275
    @boisteranto92753 жыл бұрын

    you just seem like you'd be a cool professor to have

  • @vivekyedge4125
    @vivekyedge41253 жыл бұрын

    Can't thank you enough 🙏😭

  • @dilipmahalingam
    @dilipmahalingam3 жыл бұрын

    Thank you so much sir

  • @dilettanter
    @dilettanter5 ай бұрын

    I agree with the comments - this is great!!!!👍 👍👍👍🙏🙏🙏🙏💜💜💜

  • @liambrennan4902
    @liambrennan49023 жыл бұрын

    How would we find potential at the center of both spheres?

  • @mininuwanbandara624
    @mininuwanbandara6242 жыл бұрын

    thanks you ......... thanks you..... nice explanation.

  • @antonyrasan5667
    @antonyrasan56673 жыл бұрын

    Tks nice explanation

  • @mostafae3139
    @mostafae3139 Жыл бұрын

    absolute legend

  • @lisajose9219
    @lisajose9219 Жыл бұрын

    Excellent

  • @iliastompoulidis
    @iliastompoulidis2 жыл бұрын

    You really saved me!

  • @JB-tj2ot
    @JB-tj2ot3 жыл бұрын

    so if im asked to get the EF inside the sphere what would the answer be=(? 0?

  • @endlessmijot
    @endlessmijot2 жыл бұрын

    Online learning moment. So much simpler than my professor made it out to be.

  • @kina4288
    @kina4288 Жыл бұрын

    When we say a sphere, are we automatically talking about a hollow object or not? I know a spade is a spade but when it comes to shpere, is it solid or hollow becomes important. Also, if the central charged object is off centre ie not at the centre of the metal shell, how it will change the calculation? Thank you ninja

  • @faraday7879
    @faraday78793 жыл бұрын

    you are the man

  • @abdallahmohamed8167
    @abdallahmohamed81674 ай бұрын

    قمه الجمال والله و قمه الفهم ف 18 دقيقه بس loved that 💛💛💛💛💛

  • @alecescobar9900
    @alecescobar99006 күн бұрын

    beautiful

  • @omercankilickaya9965
    @omercankilickaya99654 жыл бұрын

    If inner -Q and outside 3Q how is the solution change

  • @emreoren9578
    @emreoren95784 ай бұрын

    Hocam eyvallah ellerin dert görmesin.

  • @sabrinanovayanti3395
    @sabrinanovayanti33952 жыл бұрын

    so helpful

  • @REASON_REALM
    @REASON_REALM Жыл бұрын

    you are the best

  • @batuyild
    @batuyild Жыл бұрын

    Helpful..Thanks..

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Most welcome!

  • @Clintaso
    @Clintaso3 жыл бұрын

    Any reason you didn't do an example in the case of an insulating shell? Is it just not common?

  • @kleinerflugel65
    @kleinerflugel65 Жыл бұрын

    Thanks.

  • @andrewjustin256
    @andrewjustin2565 ай бұрын

    14:40 Would you, sir, clarify how the charge outside be positive when the charge is negative on the shell?

  • @ahmadirshaid6497
    @ahmadirshaid64972 жыл бұрын

    Is the electric field on the outer shell when (r=c) is zero ???? and when (r= a) is zero too??

  • @jadenjohnson4850
    @jadenjohnson48503 жыл бұрын

    How would E change in the case of r being between b and c if the shell is an insulator?

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

    If the charge is spread uniformly in the outer shell then you can still calculate using Gauss' Law. The field will be different!

  • @alzahraz
    @alzahraz2 жыл бұрын

    thanksss!!!

  • @FaridCenreng-
    @FaridCenreng-3 жыл бұрын

    Why the outer sphere dont affect in the white field (a

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

    It’s only what’s on the inside that matters. If you would calculate the total fuel from outside shell you would find 0. It’s takes a bit of calculus to show but that’s also what you get from Gauss’ Law

  • @dakshigoel9543
    @dakshigoel95434 жыл бұрын

    sir, if a=b then how will we find the electric field anywhere inside the spherical shell??

  • @PhysicsNinja

    @PhysicsNinja

    4 жыл бұрын

    If a=b it looks like it would simply be a conducting sphere with radius c. E=0 inside conductors. The charge would be at the surface c.

  • @hazimaznan2077
    @hazimaznan20774 жыл бұрын

    Tq for the video

  • @harbinger9231
    @harbinger92312 жыл бұрын

    Thanks a lot but how do you find the potential across two points in such a setup?

  • @PhysicsNinja

    @PhysicsNinja

    2 жыл бұрын

    Delta V= -integral( E.dl)

  • @slendermangaming6414
    @slendermangaming6414 Жыл бұрын

    I love you so much

  • @yuvanm359
    @yuvanm3593 жыл бұрын

    Tanks man

  • @isaacverdeciacarrion145
    @isaacverdeciacarrion1453 ай бұрын

    thanks

  • @hotroadcol4166
    @hotroadcol4166 Жыл бұрын

    todos te amamos

  • @philip-zr5my
    @philip-zr5my Жыл бұрын

    you are awsome :3

  • @walterdiaz2003
    @walterdiaz20033 жыл бұрын

    Do licensed electrical contractors know this or should?. I know some physics 1/2/3, Digital Systems 1 and so on. I have a BS in Computer Science but I am interested in getting the plumbing and electrical licenses (Homeowner issues....). Any advise?

  • @PhysicsNinja

    @PhysicsNinja

    3 жыл бұрын

    Absolutely not!

  • @Wave_equation.
    @Wave_equation.10 ай бұрын

    nice

  • @user-fe3oe4fy1w
    @user-fe3oe4fy1w10 ай бұрын

    It was awesome But I have a doubt, what about at point b? I mean how to find E right at b point?

  • @bunty4763

    @bunty4763

    6 ай бұрын

    See case 2 heading there clearly written that a

  • @omniamohamed404
    @omniamohamed404 Жыл бұрын

    for region two, it is still inside the outer sphere which is conducting, so how is it possible that region two does not have zero electric field?

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Because the is charge on the inner sphere

  • @SADDAMHUSAIN-ly4mm
    @SADDAMHUSAIN-ly4mm3 жыл бұрын

    S I am saddam husain from india . SirMy small talk with you is that you should solve more problems like this in the book of DavyJ Griffth by putting limit in electric field and solved more such problems sir please......and please reply sir

  • @nashhm7693
    @nashhm76932 жыл бұрын

    If it is metal sphere. The r

  • @PhysicsNinja

    @PhysicsNinja

    2 жыл бұрын

    Yes

  • @bautistabaiocchi-lora1339
    @bautistabaiocchi-lora13393 жыл бұрын

    ty

  • @bshdjdjfnfjd8379
    @bshdjdjfnfjd8379 Жыл бұрын

    I wonder why the electric field at r=a ( conducting sphere ) equals to zero🤔

  • @dawwnbrk3r653
    @dawwnbrk3r6532 жыл бұрын

    🐐

  • @lawrencelam2333
    @lawrencelam2333 Жыл бұрын

    Best video ! kzread.info/dash/bejne/oq5-w9ChXbLSZMo.html Can we say (-1 Q ) charge distributed evenly in both inner and outer shell or just (-3Q)charge in inner shell and (+ 2Q) charge in outer shell.

  • @markkennedy9767
    @markkennedy9767 Жыл бұрын

    At 2:00 are you saying that the only way E=0 everywhere inside is if q_enclosed=0. I'm pretty sure that isn't true. As you know, the integral (which evaluates to q_enclosed) can be zero but the integrand E could be non-zero in places. The implication the other way is true: if E=0 inside everywhere is zero, then q_enclosed is zero. My question is: Can you explain why in an electrostatic situation on a conducting sphere, that the electric field inside is zero necessarily. I know that in an electrostatic situation, the electric field has to be zero where the charges are (otherwise the charges would move), but why does the electric field have to be zero where the charges are not. The usual explanation in texts is by contradiction: i.e. if we had an electrostatic arrangement and we were to place another charge inside the sphere it would move if the electric field was non-zero inside, supposedly contradicting the original electrostatic situation. But by placing another charge inside the sphere aren't we changing the original electrostatic arrangement that we assumed. So we're not contradicting the original electrostatic arrangement. So it's not really a contradiction. Can you tell me where I'm going wrong with this. Thanks.

  • @ahmedalmoola8191
    @ahmedalmoola81913 жыл бұрын

    good video but I hated the many ads poped and distracted me.

  • @vectorial6467
    @vectorial646727 күн бұрын

    But for a conductor the electric field inside is zero and therefore in the case 2 the charge is zero

  • @vectorial6467

    @vectorial6467

    27 күн бұрын

    Or the inside is dielectric?

  • @eraysona
    @eraysona4 ай бұрын

    jesus. now I can show off the girls in my uni!

  • @PhysicsNinja

    @PhysicsNinja

    4 ай бұрын

    Chix will dig it.

  • @vikramnagarjuna3549
    @vikramnagarjuna35494 жыл бұрын

    Hi sir this is Vikram from India, please do some problems on coupled oscillators in SHM with simple mathematics or advanced Mathematical methods.

  • @efeturan3278
    @efeturan3278 Жыл бұрын

    so bad wroong

  • @PhysicsNinja

    @PhysicsNinja

    Жыл бұрын

    Lol

  • @amlhassan7090
    @amlhassan70904 жыл бұрын

    hi how can i calculate the surface charge density on the inner surface of the outer spherical conductor and on the outer surface of the outer spherical conductor?

  • @PhysicsNinja

    @PhysicsNinja

    4 жыл бұрын

    Total charge on that surface / (4*pi*R^2) The term in denominator is the total surface area of the sphere.

  • @amlhassan7090

    @amlhassan7090

    4 жыл бұрын

    @@PhysicsNinja ok thanks

  • @amlhassan7090

    @amlhassan7090

    4 жыл бұрын

    @@PhysicsNinja is there is any chance / way that i can send you a question to help me with ?